Home/Algebra/Numbers and algebraic properties/Identity elements1. Numbers and algebraic propertiesIdentity elementsLevel: fundamentalIn 1. Numbers and algebraic propertiesFormulaCopy LaTeXa+0=a;a⋅1=aa+0=a;\quad a\cdot1=aa+0=a;a⋅1=aTagsalgebraalgebra formulafundamentalsnumbers propertiesDetailZero is the additive identity and one is the multiplicative identity.Found an error? Contact us.Related formulasRelatedAdditive and multiplicative inversesa+(−a)=0;a⋅1a=1 (a≠0)a+(-a)=0;\quad a\cdot\frac1a=1\;(a\ne0)a+(−a)=0;a⋅a1=1(a=0)Open formulaOpen in section